{"title":"t-扩散理想的射影维数和Castelnuovo-Mumford正则性","authors":"Luca Amata, M. Crupi, A. Ficarra","doi":"10.1142/s0218196722500357","DOIUrl":null,"url":null,"abstract":"In this paper, we study some algebraic invariants of [Formula: see text]-spread ideals, [Formula: see text], such as the projective dimension and the Castelnuovo–Mumford regularity, by means of well-known graded resolutions. We state upper bounds for these invariants and, furthermore, we identify a special class of [Formula: see text]-spread ideals for which such bounds are optimal.","PeriodicalId":13615,"journal":{"name":"Int. J. Algebra Comput.","volume":"102 1","pages":"837-858"},"PeriodicalIF":0.0000,"publicationDate":"2022-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Projective dimension and Castelnuovo-Mumford regularity of t-spread ideals\",\"authors\":\"Luca Amata, M. Crupi, A. Ficarra\",\"doi\":\"10.1142/s0218196722500357\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study some algebraic invariants of [Formula: see text]-spread ideals, [Formula: see text], such as the projective dimension and the Castelnuovo–Mumford regularity, by means of well-known graded resolutions. We state upper bounds for these invariants and, furthermore, we identify a special class of [Formula: see text]-spread ideals for which such bounds are optimal.\",\"PeriodicalId\":13615,\"journal\":{\"name\":\"Int. J. Algebra Comput.\",\"volume\":\"102 1\",\"pages\":\"837-858\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-03-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Int. J. Algebra Comput.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/s0218196722500357\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Algebra Comput.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s0218196722500357","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Projective dimension and Castelnuovo-Mumford regularity of t-spread ideals
In this paper, we study some algebraic invariants of [Formula: see text]-spread ideals, [Formula: see text], such as the projective dimension and the Castelnuovo–Mumford regularity, by means of well-known graded resolutions. We state upper bounds for these invariants and, furthermore, we identify a special class of [Formula: see text]-spread ideals for which such bounds are optimal.
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